Web Reference: The pivot algorithm works by taking a self-avoiding walk and randomly choosing a point on this walk, and then applying symmetrical transformations (rotations and reflections) on the walk after the n th step to create a new walk. Dec 13, 2021 · December 13, 2021) We introduce an e cient nonreversible Markov chain Monte Carlo algorithm to generate self-avoiding walks with . variable endpoint. In two dimensions, the new algorithm slightly outperforms the two-move nonreversible Berretti-Sokal algorithm introduced by H. Hu, X. Chen, and Y. Deng in [1], while for three-dimensional walks, it Jun 1, 2017 · Our algorithm can generate every extendable SAW in dimension 2. For dimension d> 2, it generates only a subset of the extendable SAWs. We conjecture that this subset is “large” and has the same connective constant as the extendable SAWs.
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